Voronovskaja’s theorem, shape preserving properties and iterations for complex q-Bernstein polynomials

DOI10.1556/SSCMATH.2010.1156zbMath1274.30148OpenAlexW1999109822MaRDI QIDQ4913509

Sorin Gheorghe Gal

Publication date: 5 April 2013

Published in: Studia Scientiarum Mathematicarum Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1556/sscmath.2010.1156

zbMATH Keywords

starlikenessiterationsVoronovskaja's theoremapproximation in compact diskscomplex \(q\)-Bernstein polynomialsconvexity and spiral-likeness

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Approximation in the complex plane (30E10) Polynomials and rational functions of one complex variable (30C10)

Related Items (6)

The \(q\)-versions of the Bernstein operator: from mere analogies to further developments ⋮ Approximation properties of bivariate complex \(q\)-Balàzs-Szabados operators of tensor product kind ⋮ Approximation properties by Bernstein-Durrmeyer type operators ⋮ Approximation of the summation-integral-type \(q\)-Szász-Mirakjan operators ⋮ Approximation by a complex \(q\)-Durrmeyer type operator ⋮ King type modification of q-Bernstein-Schurer operators

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